Percent equal to 31.43 percent.
Answer:
a^2-ab+3ab^2-2b^2
Step-by-step explanation:
-2a^2b+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)
Open parenthesis
-2a^2b+a^2-5ab+3ab^2-2b^2+2a^2b+4ab
Add
-2a^2b+2a^2b=0
We have
a^2-5ab+3ab^2-2b^2+4ab
Add
-5ab+4ab=-ab
We have
a^2-ab+3ab^2-2b^2
Answer: a) BC = 1386.8 ft
b) CD = 565.8 ft
Step-by-step explanation:
Looking at the triangle,
AD = BD + 7600
BD = AD - 7600
Considering triangle BCD, we would apply the the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan 24 = CD/BD = CD/(AD - 700)
0.445 = CD/(AD - 700)
CD = 0.445(AD - 700)
CD = 0.445AD - 311.5 - - - - - - - -1
Considering triangle ADC,
Tan 16 = CD/AD
CD = ADtan16 = 0.287AD
Substituting CD = 0.287AD into equation 1, it becomes
CD = 0.445AD - 311.5
0.287AD = 0.445AD - 311.5
0.445AD - 0.287AD = 311.5
0.158AD = 311.5
AD = 311.5/0.158
AD = 1971.52
CD = 0.287AD = 0.287 × 1971.52
CD = 565.8 ft
To determine BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse
Sin 24 = CD/BC
BC = CD/Sin24 = 565.8/0.408
BC = 1386.8 ft
